Eddy Current Power Dissipation at Sharp Corners: Rectangular Conductor Examples

ABSTRACT

The conformal mapping solution to the rectangular slot aperture having depth is briefly reviewed. The inverse of the internal impedance per unit length is calculated by means of the usual method of using the perfectly conducting current or magnetic field distribution and the surface impedance. The connection between the local edge magnetic field strength and the global slot magnetic flux per unit length is determined. The conformal mapping solution and internal impedance per unit length (determined by the usual method) for the single rectangular conductor are briefly reviewed. The connection between the local edge magnetic field strength and the global conductor current is determined. The results obtained in this paper are of direct interest, but are also used in future papers to obtain the internal impedance per unit length, including local impedance corrections for right angle corners of arbitrary ratios of internal-to-external magnetic permeabilities.